We live out our lives in a three dimensional world. However, our understanding of what this means is meager, and the study of 3D Geometry is markedly absent from our educational system. Essential 3D Geometry: Unraveling the Mathematical Wonders
bridges the gap between current mathematical knowledge and our fascinating—and unexplored—3D world.
Originally developed by and for high school students, the material in Essential 3D Geometry
has been successfully developed into a college-level text for pre-service teachers.
The book offers an original and unique approach for learning mathematics—iMAT engineering—which is based on the principle that learning mathematics is an integrated activity calling for multi-type presentations of mathematical objects through the use of different technologies.
The text begins with a thorough study of the building blocks of spatial structures, the five Platonic Solids. The material integrates 2D and 3D geometry, as well as algebra and trigonometry. Subsequent chapters cover a variety of topics including Thales' Theorem, the volume of the Platonic solids and non-regular tetrahedrons, circumcircles and circum-spheres, Archimedean Bodies, and spatial transformations.
Students will learn to produce and make use of three types of representation of 3D objects: solids or lattice models, Cabri 3D or GSP files, and constructions using a straight-edge and compass or free hand drawings. Representations will be developed using paper and pencil, craft technology, and computer technology. Beginning with simple activities like constructing concrete models, the material then moves on to abstract representations, reasoning, and exact calculations of surface areas and volumes.
Essential 3D Geometry
is an excellent tool for introducing math educators to the concepts of 3D geometry, helping them go on to develop similar courses for their own students.
Adopting instructors will receive a complete set teaching resources, including Cabri 3D v2 and GSP v5 files of all of the figures and constructions for each chapter and sample exams. Contact a University Readers representative
to request a sample.